Adding A Card For Payment Without Family Sharing

So I’m trying to add a card to my payment method, but I never verified the original card I put in (I didn’t know I was supposed to), and I don’t have the original card anymore because I had to replace it. So I don’t have the security code to verify it to add a new card. I’m not sure if this is involved in the problem I’m having but I’m also on Family Sharing as a family member (I’m not the organizer, my mom is), and I don’t know if that means I can’t have my own card added that won’t be used for the other members in Family Sharing.